Ali Taheri — Neckpinchhttps://neckpinch.com/authors/ali-taheri/New arXiv papers by Ali Taheri, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentialshttps://neckpinch.com/papers/2303.05802/arxiv:2303.05802Fri, 10 Mar 2023 00:00:00 GMTAli Taheri, Vahideh Vahidifar — This article presents new parabolic and elliptic type gradient estimates for positive smooth solutions to a nonlinear parabolic equation involving the Witten Laplacian in the context of smooth metric measure spaces. The metric and potential here are time dependent and evolve under a super Perelman-Ricci flow. The estimates are derived under natural lower bounds on the associated generalised Bakry-Émery Ricci curvature tensors and are utilised in establishing fairly general local and global bounds, Harnack-type inequalities and Liouville-type global constancy theorems to mention a few. Other implications and consequences of the results are also discussed.Ricci flowHarnack inequalitiesLimit spaces & RCD